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Simplifying 6(2s + 12) = 8(4s + -16) Reorder the terms: 6(12 + 2s) = 8(4s + -16) (12 * 6 + 2s * 6) = 8(4s + -16) (72 + 12s) = 8(4s + -16) Reorder the terms: 72 + 12s = 8(-16 + 4s) 72 + 12s = (-16 * 8 + 4s * 8) 72 + 12s = (-128 + 32s) Solving 72 + 12s = -128 + 32s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-32s' to each side of the equation. 72 + 12s + -32s = -128 + 32s + -32s Combine like terms: 12s + -32s = -20s 72 + -20s = -128 + 32s + -32s Combine like terms: 32s + -32s = 0 72 + -20s = -128 + 0 72 + -20s = -128 Add '-72' to each side of the equation. 72 + -72 + -20s = -128 + -72 Combine like terms: 72 + -72 = 0 0 + -20s = -128 + -72 -20s = -128 + -72 Combine like terms: -128 + -72 = -200 -20s = -200 Divide each side by '-20'. s = 10 Simplifying s = 10
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